A nonlinear state feedback approach to the control and synchronization of continuous-time chaotic systems

This paper presents a nonlinear state feedback approach to the control and synchronization of chaotic nonlinear dynamic systems based on a unified fra me for both the control and the synchronization. Assuming the boundedness o f chaotic attractors and limit cycles, the approach, which is both global a nd not reliant on complete knowledge of the systems involved, is rigorously proved by means of Lyapunov theory. An application to the synchronization of three chaotic systems is given.